3,500,000 Shares of Common Stock



                     NORDIC AMERICAN TANKER SHIPPING LIMITED



                             UNDERWRITING AGREEMENT



                                  March 2, 2005



BEAR, STEARNS & CO. INC.

UBS SECURITIES LLC

      As Representatives of the

      several Underwriters named in

      Schedule I attached hereto (the "Representatives")

c/o Bear, Stearns & Co. Inc.

383 Madison Avenue

New York, New York 10179



c/o UBS Securities LLC

299 Park Avenue

New York, New York 10171



Ladies/Gentlemen:



          Nordic  American  Tanker  Shipping  Limited,  a company  organized and

existing  under the laws of the Islands of Bermuda  (the  "Company"),  proposes,

subject  to the terms and  conditions  stated  herein,  to issue and sell to the

several  underwriters  named  in  Schedule  I  hereto  (the  "Underwriters")  an

aggregate  of 3,500,000  shares (the "Firm  Shares") of its common  shares,  par

value $0.01 per share (the "Common Stock") and, for the sole purpose of covering

over-allotments in connection with the sale of the Firm Shares, at the option of

the Underwriters,  up to an additional 525,000 shares (the "Additional  Shares")

of Common  Stock.  The Firm Shares and any  Additional  Shares  purchased by the

Underwriters  are referred to herein as the "Shares".  The Shares are more fully

described in the Registration  Statement and Prospectus referred to below. Bear,

Stearns & Co. Inc.  ("Bear  Stearns") and UBS  Securities LLC are acting as lead

managers  (together,  the "Lead  Managers") in connection  with the offering and

sale of the Shares contemplated herein (the "Offering").



     1.   Representations and Warranties of the Company



          The Company  represents and warrants to, and agrees with,  each of the

Underwriters that:



               (a) The  Company  has  filed  with the  Securities  and  Exchange

Commission  (the  "Commission")  a  registration  statement  on  Form  F-3  (No.

333-118128),  and amendments thereto,  and related preliminary  prospectuses for

the  registration  under the Securities Act of 1933, as amended (the "Securities

Act"),  of the Shares  which  registration  statement,  as so amended,  has been

declared  effective by the Commission and copies of which have  heretofore  been

made available to the Underwriters.  The registration  statement,  as amended at

the time it became effective,  including the prospectus,  financial  statements,

schedules,  exhibits  and other  information  (if any)  deemed to be part of the

registration statement at the time of effectiveness pursuant to Rule 430A or 434

under the  Securities  Act,  is  hereinafter  referred  to as the  "Registration

Statement." If the Company has filed or is required pursuant to the terms hereof

to file a  registration  statement  pursuant to Rule 462(b) under the Securities

Act registering  additional shares of Common Stock (a "Rule 462(b)  Registration

Statement"),  then, unless otherwise specified, any reference herein to the term

"Registration   Statement"   shall  be  deemed  to  include   such  Rule  462(b)

Registration Statement. Other than a Rule 462(b) Registration Statement,  which,

if filed,  becomes  effective upon filing, no other document with respect to the

Registration Statement has heretofore been filed with the Commission. All of the

Shares  have  been   registered   under  the  Securities  Act  pursuant  to  the

Registration  Statement or, if any Rule 462(b) Registration  Statement is filed,

will be duly  registered  under the  Securities Act with the filing of such Rule

462(b)  Registration  Statement.  No stop order suspending the  effectiveness of

either the Registration Statement or the Rule 462(b) Registration  Statement, if

any, has been issued and no  proceeding  for that purpose has been  initiated or

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